If that were true, then why does it have a <3% specification on voltage imbalance? The compressor may not care, but the low voltage boards do. There is some digital communication on the power lines implemented, so this is where I think the weakness comes in. Go back to the link above and read the other thread. It's pretty relevant.
Do the low voltage boards have any external ground reference?
Do the low voltage boards have any connection to the neutral?
Ask yourself if a sensor on the low voltage board could measure the voltage imbalance. If the board cannot measure the imbalance, then the imbalance cannot affect the board.
Now imagine that the board generates a midpoint voltage relative to the supply legs. On a balanced 120/240V system, this midpoint voltage will be near ground potential. If the supply is not balanced, the midpoint will be offset from ground voltage.
If the low voltage boards were somehow sensitive to the midpoint to ground voltage, then you might say 'unbalanced supply increases midpoint to ground voltage, and excesd midpoint to ground voltage causes failures.' But this is flawed, because a perfectly balanced 120/208V system would also have an elevated midpoint to ground voltage.
This is why I believe the leg balance requirement is a red herring. Leg balance is critical in a 3 phase system where the motors are directly powered from the 3 phase supply. I believe that the balance value is boilerplate from a 3 phase spec.
IMHO you should get Mitsubishi to tell you why leg voltage balance matters.